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Finding the Fourth Proportional to 590.19, 883.72 and 487.93

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Solution

The fourth proportional to 590.19, 883.72 and 487.93 is: 730.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    590.19 : 883.72 = 487.93 : x
  2. Step 2: Convert to fraction form
    590.19/883.72 = 487.93/x
  3. Step 3: Cross multiply
    590.19x = 883.72 × 487.93
  4. Step 4: Simplify right side
    590.19x = 431,191.06
  5. Step 5: Solve for x
    x = 431,191.06/590.19
  6. Step 6: Final answer
    x = 730.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.